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David PennistonProfessorDepartment of Mathematics University of Wisconsin Oshkosh Oshkosh, WI 54901-8631 Office: 103 Swart Hall Phone: Fax: (920) 424-1812 Email: pennistd@uwosh.edu |
- The above picture was taken on Mount Katahdin in Maine at the
northern terminus of the Appalachian Trail.
Curriculum vita
Spring 2020 schedule
- Math 349 @ 10:20, Math 172 @ 11:30
Notes for Math 349/549 (Number Theory)
Research Interests
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Number theory and arithmetic geometry. My areas of study include
modular forms, elliptic curves,
partitions, degeneration of curves and jacobians and K3 surfaces.
Recent Publications
- 11-regular partitions and a Hecke eigenform,
International Journal of Number Theory 15 (2019), no. 6, 1251-1259.
- The 7-regular and 13-regular partition functions
modulo 3
(with Eric Boll), Bulletin of the Australian Mathematical Society 93 (2016), no. 3, 410-419.
- Congruences for l-regular partition functions
modulo 3
(with David Furcy), Ramanujan Journal 27 (2012), no. 1, 101-108.
- Average Frobenius distributions for elliptic curves
over abelian extensions
(with Neil Calkin, Bryan Faulkner, Kevin James and Matt King),
Acta Arithmetica 149 (2011), no. 3, 215-244.
- l-divisibility of l-regular partition functions
(with Brian Dandurand), Ramanujan Journal 19 (2009), no. 1, 63-70.
- Arithmetic properties of non-harmonic weak Maass forms
(with Kathrin Bringmann), Proceedings of the American Mathematical Society 137 (2009), 825-833.
Education
- Ph.D. in Mathematics, University of Georgia, 1998.
- M.S. in Physics, University of Michigan, 1991.
- B.S. in Physics and Mathematics, University of Wisconsin, 1990.
Other interests
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I enjoy most sports, including tennis, cross country skiing,
rollerblading, ultimate frisbee,
mountain biking
and running. I have run the New York City Marathon, skated the North Shore Inline Marathon
and skied the American Birkebeiner.
I recently completed my hike of the Appalachian Trail by finishing the section in Maine.
Many AT hikers consider the White Mountains in New Hampshire to be the most beautiful part
of the trail, and it is hard to argue.
My all-time favorite hike is the Wonderland Trail, which I would recommend
highly to anyone who loves hiking, and here are pictures from a few that are not far behind:
the Four Pass Loop, the Teton Crest Trail, the North Circle in Glacier National Park,
the Kesugi Ridge Trail in Denali State Park, the Escalante Route in Grand Canyon
and the Highline Trail in the Wind River Range.
For a flat state Wisconsin offers some excellent mountain biking. In particular, Kettle Moraine State Park
has the Greenbush trail system in its north unit and the John Muir and Emma Carlin trails in the south. If you
are looking for a place to ride in the Fox Valley, I would recommend the trails at Waukau Dam.